Answer:
[tex]v(t) = s'(t) = 0+15 (3\pi) cos (3\pi t)\\= 45 \pi co s(3 \pi t)[/tex]
Step-by-step explanation:
Given that the displacement of a particle on a vibrating string is given by the equation
s(t) = 3 + 1 5 sin(3πt),
where s is measured in centimeters and t in seconds.
We are find the velocity of the particle at time t.
We know that velocity is nothing but rate of change of s or derivative of s
So
[tex]v(t) = s'(t) = 0+15 (3\pi) cos (3\pi t)\\= 45 \pi co s(3 \pi t)[/tex]
